Answer:
x = 8mi
Step-by-step explanation:
Use Pythagorean theorem! It states that you can find any side of the triangle using the equation [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] . The sides a and b are the sides that are shortest, and c is the longest/slanted side (hypotenuse). So plug in what they give you to get [tex]a^{2}[/tex] + [tex]6^{2}[/tex] = [tex]10^{2}[/tex] ( a and b can be used for either number that is not the hypotenuse). A little bit of basic algebra will lead you to get x=8 mi.
algebraic steps:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]a^{2}[/tex] + [tex]6^{2}[/tex] = [tex]10^{2}[/tex]
[tex]a^{2}[/tex] + 36 = 100
[tex]a^{2}[/tex] = 64
a = 8mi
